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  1. Quantifier Variance and Indefinite Extensibility.Jared Warren - 2017 - Philosophical Review 126 (1):81-122.
    This essay clarifies quantifier variance and uses it to provide a theory of indefinite extensibility that I call the variance theory of indefinite extensibility. The indefinite extensibility response to the set-theoretic paradoxes sees each argument for paradox as a demonstration that we have come to a different and more expansive understanding of ‘all sets’. But indefinite extensibility is philosophically puzzling: extant accounts are either metasemantically suspect in requiring mysterious mechanisms of domain expansion, or metaphysically suspect in requiring nonstandard assumptions about (...)
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  • The Sense-Data Language and External World Skepticism.Jared Warren - 2024 - In Uriah Kriegel (ed.), Oxford Studies in Philosophy of Mind Vol 4. Oxford University Press.
    We face reality presented with the data of conscious experience and nothing else. The project of early modern philosophy was to build a complete theory of the world from this starting point, with no cheating. Crucial to this starting point is the data of conscious sensory experience – sense data. Attempts to avoid this project often argue that the very idea of sense data is confused. But the sense-data way of talking, the sense-data language, can be freed from every blemish (...)
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  • Quantifier Variance.Rohan Sud & David Manley - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge. pp. 100-17.
    We provide an overview of the meta-ontological position known as "Quantifier Variance".
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  • Against Hirsch's metaontological deflationism.Asher Jiang - 2021 - Synthese 199 (5-6):14333-14348.
    Hirsch advocates a certain kind of metaontological deflationism. He believes that, sometimes, metaphysicians are talking past each other. In his opinion, the debate between compositional organicists and compositional universalists is a prototypical verbal dispute. I argue that his diagnosis is wrong especially with regard to this central case. My argument also weakens his deflationist position in general.
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  • Collapse and the Varieties of Quantifier Variance.Matti Eklund - 2021 - In James Miller (ed.), The Language of Ontology. New York, NY: Oxford University Press.
    The aim of the paper is to bring clarity regarding the doctrine of quantifier variance (due to Eli Hirsch), and two prominent arguments against this doctrine, the collapse argument and the Eklund-Hawthorne argument. Different versions of the doctrine of quantifier variance are distinguished, and it is shown that the effectiveness of the arguments against it depends on what version of the doctrine is at issue. The metaontological significance of the different versions of the doctrine are also assessed. Roughly, quantifier variance (...)
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  • Quantifier Variance, Semantic Collapse, and “Genuine” Quantifiers.Jared Warren - 2021 - Philosophical Studies 179 (3):745-757.
    Quantifier variance holds that different languages can have unrestricted quantifier expressions that differ in meaning, where an expression is a “quantifier” just in case it plays the right inferential role. Several critics argued that J.H. Harris’s “collapse” argument refutes variance by showing that identity of inferential role is incompatible with meaning variance. This standard, syntactic collapse argument has generated several responses. More recently, Cian Dorr proved semantic collapse theorems to generate a semantic collapse argument against variance. The argument is significantly (...)
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  • Ontology, Set Theory, and the Paraphrase Challenge.Jared Warren - 2021 - Journal of Philosophical Logic 50 (6):1231-1248.
    In many ontological debates there is a familiar challenge. Consider a debate over X s. The “small” or anti-X side tries to show that they can paraphrase the pro-X or “big” side’s claims without any loss of expressive power. Typically though, when the big side adds whatever resources the small side used in their paraphrase, the symmetry breaks down. The big side plus small’s resources is a more expressively powerful and thus more theoretically fruitful theory. In this paper, I show (...)
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  • Quantifier Variance.Eli Hirsch & Jared Warren - 2019 - In Martin Kusch (ed.), The Routledge Handbook of Philosophy of Relativism. Routledge. pp. 349-357.
    Quantifier variance is a well-known view in contemporary metaontology, but it remains very widely misunderstood by critics. Here we briefly and clearly explain the metasemantics of quantifier variance and distinguish between modest and strong forms of variance (Section I), explain some key applications (Section II), clear up some misunderstandings and address objections (Section III), and point the way toward future directions of quantifier-variance-related research (Section IV).
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  • Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
    What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...)
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  • The existence of personites.Matti Eklund - 2020 - Philosophical Studies 177 (7):2051-2071.
    Mark Johnston and Eric Olson have both pressed what Johnston has dubbed the personite problem. Personites, if they exist, are person-like entities whose lives extend over a continuous proper part of a person’s life. They are so person-like that they seem to have moral status if persons do. But this threatens to wreak havoc with ordinary moral thinking. For example, simple decisions to suffer some short-term hardship for long-term benefits become problematic. And ordinary punishment is always also punishment of the (...)
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  • The Logic in Philosophy of Science.Hans Halvorson - 2019 - Cambridge and New York: Cambridge University Press.
    Major figures of twentieth-century philosophy were enthralled by the revolution in formal logic, and many of their arguments are based on novel mathematical discoveries. Hilary Putnam claimed that the Löwenheim-Skølem theorem refutes the existence of an objective, observer-independent world; Bas van Fraassen claimed that arguments against empiricism in philosophy of science are ineffective against a semantic approach to scientific theories; W. V. O. Quine claimed that the distinction between analytic and synthetic truths is trivialized by the fact that any theory (...)
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